Atkin-Lehner |
2+ 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
48800h |
Isogeny class |
Conductor |
48800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10880 |
Modular degree for the optimal curve |
Δ |
-3904000 = -1 · 29 · 53 · 61 |
Discriminant |
Eigenvalues |
2+ -2 5- 2 -2 5 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-248,-1592] |
[a1,a2,a3,a4,a6] |
Generators |
[18:10:1] |
Generators of the group modulo torsion |
j |
-26463592/61 |
j-invariant |
L |
4.3625659503701 |
L(r)(E,1)/r! |
Ω |
0.60124409993431 |
Real period |
R |
1.8139745366632 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999334 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48800o1 97600y1 48800p1 |
Quadratic twists by: -4 8 5 |